Division ring
Jump to navigation
Jump to search
In algebra, a division ring or skew field is a ring in which every non-zero element is invertible.
A commutative division ring is a field.
The centre C of a division ring A is a field, and hence A may be regarded as a C-algebra.
Examples
- The quaternions form a division ring.
References
- Serge Lang (1993). Algebra, 3rd ed. Addison-Wesley, 84,642. ISBN 0-201-55540-9.